As shown in the figure, $OABC-DEFG$ is a cube. Which of the following vectors is parallel to the cross product $\overrightarrow{AD} \times \overrightarrow{AG}$?\\
(1) $\overrightarrow{AE}$\\
(2) $\overrightarrow{BE}$\\
(3) $\overrightarrow{CE}$\\
(4) $\overrightarrow{DE}$\\
(5) $\overrightarrow{OE}$